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Finding the Third Proportional to 560,654 and 840,805

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Solution

The third proportional to 560,654 and 840,805 is: 1,260,943.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,654 : 840,805 = 840,805 : x
  2. Step 2: Convert to fraction form
    560,654/840,805 = 840,805/x
  3. Step 3: Cross multiply
    560,654x = 840,805 × 840,805
  4. Step 4: Simplify right side
    560,654x = 706,953,048,025
  5. Step 5: Solve for x
    x = 706,953,048,025/560,654
  6. Step 6: Final answer
    x = 1,260,943.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.